GCF of 3435/426, 1572/7593
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3435/426, 1572/7593 i.e 3/1078206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3435/426, 1572/7593.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3435/426,1572/7593?
Given fractions are 3435/426,1572/7593
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3435/426,1572/7593, numerators are 3435,1572
Denominators are 426,7593
The GCF of 3435,1572 is 3 .
LCM of 426,7593 is 1078206.
The greatest common factor of 3435/426,1572/7593 = [GCF of 3435,1572]/[LCM of 426,7593]= 3/1078206
Therefore, the GCF of 3435/426,1572/7593 is 3/1078206.
To find the highest common factor of 3435,1572, we have to find the factors of both numbers and list the highest common factor.
The factors of 3435 are 1, 3, 5, 15, 229, 687, 1145, 3435
The factors of 1572 are 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572
The HCF of 3435,1572 is 3.
Lets's calculate GCF of 3435,1572
| 3 | 3435, 1572 |
| 1145, 524 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3435,1572 By Matching Biggest Common Factor Method
Now, list down the factors of 3435
:1,3,5,15,229,687,1145,3435
Now, list down the factors of 1572
:1,2,3,4,6,12,131,262,393,524,786,1572
Greatest Common Factor
We found the factors 3435,1572 . The biggest common factor number is the GCF number.
So the greatest common factor 3435,1572 is 3.
Lets's calculate LCM of 426,7593
| 3 | 426, 7593 |
| 142, 2531 |
∴ So the LCM of the given numbers is 3 x 142 x 2531 = 1078206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1078206
Therefore, the GCF of Fractions 3435/426,1572/7593 is 3/1078206
Least Common Multiple of 426,7593 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 426,7593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,7593) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(426,7593) x common factors =3 x 1 = 3
LCM(426,7593) = ( 426 × 7593 ) / 3
LCM(426,7593) = 3234618 / 3
LCM(426,7593) = 1078206
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FAQs on GCF of Fractions of 3435/426, 1572/7593
1. What is the HCF of 3435,1572?
The HCF of 3435,1572 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3435/426, 1572/7593?
Answer: GCF of Numerators as per given numbers 3435/426, 1572/7593 is
GCF of Numerators i.e. for 3435,1572 is 3
LCM of denominators i.e. for 426,7593 is 1078206.
Thus, GCF of Fractions is 3/1078206.Finally, GCF of Fractions for 3435/426, 1572/7593 is 3/1078206.